Two seconds after projection a projectile is travelling in a direction inclined at 30o to the horizontal after one more sec, it is travelling horizontally, the magnitude and direction of its velocity are
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Let in 2sec body reaches upto point A abd after one more sec upto point B.
Total time of ascent for a body is given 3s, i.e.,
t=usinθg=3
∴usinθ=10×3=30 ….(i)
Horizontal component of velocity remains always constant,
ucosθ=vcos30∘ ...(ii)
For vertical upward motion between point OandA,
vsin30∘=usinθ−g×2 [Usingv=u−gt]
vsin30∘=30−20 [Asusinθ=30]
∴v=20ms−1
Substituting thisn value in Eq. (ii),
ucosθ=20cos302=103–√)...(iii)
From Eq. (i) and (iii), u=203–√andθ=60∘.
Explanation:
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